12. the ratio of girls to boys in a chess club was 5 : 4. there are 32 boys. how many girls were there in…

Explanation:

Step1: Define the ratio relationship

Let the number of girls be ( g ) and boys be ( b ). The ratio of girls to boys is ( \frac{g}{b}=\frac{5}{4} ). We know ( b = 32 ).

Step2: Solve for the number of girls

Substitute ( b = 32 ) into the ratio equation: ( \frac{g}{32}=\frac{5}{4} ). Cross - multiply to get ( 4g=5\times32 ). Then ( 4g = 160 ). Divide both sides by 4: ( g=\frac{160}{4}=40 ).

Answer:

There were 40 girls in the club.